Optimal boundary control of forced vibrations by the displacement at one end of the string with the other end fixed

DOI10.1134/S0012266114050103zbMath1296.49002OpenAlexW1988512744MaRDI QIDQ404699

M. F. Abdukarimov

Publication date: 4 September 2014

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266114050103

zbMATH Keywords

optimal boundary controlinhomogeneous wave equationstring vibration

Mathematics Subject Classification ID

Wave equation (35L05) Existence theories for optimal control problems involving partial differential equations (49J20) Strings (74K05)

Cites Work

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• Minimization of the integral of the modulus of the derivative of boundary control in an arbitrary power \(p\geq 1\)
• Minimization of the \(L_{p}\)-norm with arbitrary \(p \geq 1\) of the derivative of a boundary displacement control on an arbitrary sufficiently large time interval t
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS
• Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation
• Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation

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